{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Onda Cossenoidal\n", "\n", "Uma onda senoidal e uma onda cossenoidal apresentam exatamente a mesma forma. A única diferença entre elas é que há uma mudança de fase de 90 graus entre as duas ondas. O cosseno está sempre à frente do seno em exatamente 90 graus.\n", "\n", "Embora ela seja altamente não-linear, é considerada a forma de onda mais natural da natureza. Entre outras ocorrências, ele aparece em todas as máquinas rotativas e virtualmente em todas as estruturas oscilantes.\n", "\n", "Suas principais características incluem:\n", "\n", "- Ondas Cossenoidais são ondas periódicas geradas através de oscilações.\n", "- Ondas Cossenoidais são similares às ondas senoidais, entretanto a onda cossenoidal lidera a onda senoidal por um ângulo fase de 90 graus.\n", "- A curva do cosseno não passa pela origem (0,0).\n", "- A onda cossenoidal tem a mesma frequência de sua correspondente onda senoidal.\n", "- As ondas marítimas são um exemplo de ondas cossenoidais.\n", "- Uma curva de cosseno pode ser apresentada ao chamarmos a função **cos** em um array **NumPy** e utilizarmos a função **plot** da biblioteca matplotlib.\n", "\n", "Para visualizarmos o exemplo, vamos primeiro importar as bibliotecas necessárias:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Obtemos os valores do eixo-**X** da onda cossenoidal:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "tempo = np.arange(0, 13, 0.09)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A amplitude da onda cossenoidal é o cosseno de uma variável, nesse caso será **tempo**:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "amplitude = np.cos(tempo)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Com o **tempo** e a **amplitude** podemos plotar o gráfico:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(16,9))\n", "plt.plot(tempo, amplitude, linewidth=3, color='green')\n", "plt.title('Onda Cossenoidal')\n", "plt.xlabel('Tempo')\n", "plt.ylabel('Amplitude = cosseno(tempo)')\n", "plt.grid(True, which='both')\n", "plt.axhline(y=0, color='k')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.10" } }, "nbformat": 4, "nbformat_minor": 4 }